A method for producing a reaction product including at least one synthetic formulation that carbonates sufficiently, said method comprising: providing a first raw material, having a first concentration of M; providing a second raw material, having a second concentration of Me; and mixing the first raw material and the second raw material to produce a reaction product that includes at least one synthetic formulation having the general formula MaMebOc, MaMeb(OH)d, MaMebOc(OH)d or MaMebO(OH)d•(H2O)e, wherein M comprises at least one metal that can react to form a carbonate and Me is at least one element that can form an oxide during the carbonation reaction, wherein the at least one synthetic formulation is capable of undergoing a carbonation reaction, and wherein the at least one synthetic formulation is capable of undergoing volume change during the carbonation reaction.